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Walter D Neumann

  1. Quasi-isometric classification of non-geometric 3-manifold groups.

    Втр, 01/05/2010 - 16:01 — SomNambul
    Authors: Walter D Neumann, Jason Behrstock
    Subjects: Geometric Topology
    Abstract

    We describe the quasi-isometric classification of fundamental groups of
    irreducible non-geometric 3-manifolds which do not have "too many" arithmetic
    hyperbolic geometric components, thus completing the quasi-isometric
    classification of 3--manifold groups in all but a few exceptional cases.

  2. Principal analytic link theory in homology sphere links.

    Ср, 09/09/2009 - 22:08 — SomNambul
    Authors: A. Nemethi, Walter D Neumann, A. Pichon
    Subjects: Algebraic Geometry
    Abstract

    For the link $M$ of a normal complex surface singularity $(X,0)$ we ask when
    a knot $K\subset M$ exists for which the answer to whether $K$ is the link of
    the zero set of some analytic germ $(X,0)\to (\mathbb C,0)$ affects the
    analytic structure on $(X,0)$. We show that if $M$ is an integral homology
    sphere then such a knot exists if and only if $M$ is not one of the Brieskorn
    homology spheres $M(2,3,5)$, $M(2,3,7)$, $M(2,3,11)$.

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